Sam the scout is going on a camp out with his boy-scout troop. There are large tents that sleep 6 boys and small tents that slee
p 4 boys. The ratio of large tents to small tents is 8 to 5. There are exactly enough tents to sleep 816 boys. How many tents of each size are there?
1 answer:
Answer:
There are 96 large tents and 60 small tents
Step-by-step explanation:
Here, we want to calculate the number of tents of each sizes there
Let the number of 6-boys tent be s and the number of 4-boys tent be f
6s + 4f = 816 ••••••(i)
Ratio of large to small ( ratio of s to f)
8:5 = s/f
8/5 = s/f
8f = 5s
f = 5s/8 ••••(ii)
Substitute ii into i
6s + 4(5s/8) = 816
6s + 5s/2 = 816
Multiply through by 2
12s + 5s = 1,632
17s = 1632
s = 1632/17
s = 96
f = 5s/8
f = (5 * 96)/8 = 60
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6v = v + 20
- v - v
5v = 20
/5 /5
v = 4
hopefully that helps!